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Finding the Fourth Proportional to 10,343.82, 14,274 and 5,628.08

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Solution

The fourth proportional to 10,343.82, 14,274 and 5,628.08 is: 7,766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.82 : 14,274 = 5,628.08 : x
  2. Step 2: Convert to fraction form
    10,343.82/14,274 = 5,628.08/x
  3. Step 3: Cross multiply
    10,343.82x = 14,274 × 5,628.08
  4. Step 4: Simplify right side
    10,343.82x = 80,335,213.92
  5. Step 5: Solve for x
    x = 80,335,213.92/10,343.82
  6. Step 6: Final answer
    x = 7,766.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.